Results 1 to 6 of 6

Math Help - Can I get some help solving logerithms?

  1. #1
    Member
    Joined
    Sep 2007
    From
    Colorado
    Posts
    145

    Can I get some help solving logerithms?

    log10 SQ of 10

    I did

    10^y=SQ of 10


    Y=1/2 but I don't know how to that. I know I have to do something with the SQ of 10. It's not a perfect square. it comes out to 3.19.



    Thanks

    Jason
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,856
    Thanks
    321
    Awards
    1
    Quote Originally Posted by Darkhrse99 View Post
    log10 SQ of 10

    I did

    10^y=SQ of 10


    Y=1/2 but I don't know how to that. I know I have to do something with the SQ of 10. It's not a perfect square. it comes out to 3.19.



    Thanks

    Jason
    log_{10}(\sqrt{10}) = log_{10}(10^{1/2}) = \frac{1}{2}log_{10}(10) = \frac{1}{2} \cdot 1 = \frac{1}{2}

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Sep 2007
    From
    Colorado
    Posts
    145
    Dan

    How did you get (10)^1/2 out of SQRT of 10?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,856
    Thanks
    321
    Awards
    1
    Quote Originally Posted by Darkhrse99 View Post
    Dan

    How did you get (10)^1/2 out of SQRT of 10?
    For any a > 0
    \sqrt[n]{a} = a^{1/n}

    We can prove this for the square roots fairly easily by solving x^2 = a in two ways:
    x^2 = a

    x = \sqrt{a} <-- Taking just the principle value for the moment.

    And
    x^2 = a

    (x^2)^{1/2} = a^{1/2}

    x = a^{1/2}

    Thus
    \sqrt{a} = a^{1/2}.

    -Dan
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Sep 2007
    From
    Colorado
    Posts
    145
    Thanks Dan.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,856
    Thanks
    321
    Awards
    1
    Quote Originally Posted by Darkhrse99 View Post
    Thanks Dan.
    I live to serve.

    You are welcome!

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Solving for x: A/sin(x)=B/sin(C-x)
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: May 1st 2011, 07:07 AM
  2. Solving for X
    Posted in the Algebra Forum
    Replies: 3
    Last Post: April 27th 2011, 10:44 PM
  3. [SOLVED] Solving a DE
    Posted in the Differential Equations Forum
    Replies: 6
    Last Post: January 6th 2011, 07:41 AM
  4. Need help solving for x
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 22nd 2008, 01:12 PM
  5. Replies: 3
    Last Post: October 11th 2006, 09:15 PM

Search Tags


/mathhelpforum @mathhelpforum